Velocity-Correction Projection Methods for Incompressible Flows

• Published in: SIAM journal on numerical analysis Vol. 41; no. 1; pp. 112 - 134
• Main Authors: Guermond, J. L., Shen, Jie
• Format: Journal Article
• Language: English
• Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2003
• Subjects: Applied mathematics; Approximation; Methods; Navier-Stokes equations; Velocity

We introduce and study a new class of projection methods---namely, the velocity-correction methods in standard form and in rotational form---for solving the unsteady incompressible Navier--Stokes equations. We show that the rotational form provides improved error estimates in terms of the H1-norm fo...